7613435025 has 135 divisors (see below), whose sum is σ = 16464635649. Its totient is φ = 3467862720.

The previous prime is 7613434993. The next prime is 7613435051. The reversal of 7613435025 is 5205343167.

The square root of 7613435025 is 87255.

It is a perfect power (a square), and thus also a powerful number.

7613435025 is a `hidden beast` number, since 7 + 613 + 4 + 35 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1744649361 + 5868785664 = 41769^2 + 76608^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 7613435025 - 2⁵ = 7613434993 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 27485187 + ... + 27485463.

Almost surely, 2^7613435025 is an apocalyptic number.

7613435025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7613435025 is the 87255-th square number.

7613435025 is the 43628-th centered octagonal number.

It is an amenable number.

7613435025 is an abundant number, since it is smaller than the sum of its proper divisors (8851200624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7613435025 is an equidigital number, since it uses as much as digits as its factorization.

7613435025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The cubic root of 7613435025 is about 1967.2529953245.

Multiplying 7613435025 by its sum of digits (36), we get a square (274083660900 = 523530²).

The spelling of 7613435025 in words is "seven billion, six hundred thirteen million, four hundred thirty-five thousand, twenty-five".