5261600 has 36 divisors (see below), whose sum is σ = 12846834. Its totient is φ = 2104320.

The previous prime is 5261587. The next prime is 5261611. The reversal of 5261600 is 61625.

It can be written as a sum of positive squares in 3 ways, for example, as 5071504 + 190096 = 2252^2 + 436^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2489 + ... + 4088.

Almost surely, 2^5261600 is an apocalyptic number.

5261600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5261600 is an abundant number, since it is smaller than the sum of its proper divisors (7585234).

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

5261600 is a wasteful number, since it uses less digits than its factorization.

5261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6597 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 5261600 is about 2293.8177782902. The cubic root of 5261600 is about 173.9292441430.

The spelling of 5261600 in words is "five million, two hundred sixty-one thousand, six hundred".