1054537506 has 144 divisors (see below), whose sum is σ = 2800980000. Its totient is φ = 284739840.

The previous prime is 1054537501. The next prime is 1054537513. The reversal of 1054537506 is 6057354501.

1054537506 is a `hidden beast` number, since 105 + 45 + 3 + 7 + 506 = 666.

It is a super-2 number, since 2×1054537506² = 2224098703121400072, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1054537501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 702745 + ... + 704243.

It is an arithmetic number, because the mean of its divisors is an integer number (19451250).

Almost surely, 2^1054537506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054537506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400490000).

1054537506 is an abundant number, since it is smaller than the sum of its proper divisors (1746442494).

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

1054537506 is a wasteful number, since it uses less digits than its factorization.

1054537506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 1054537506 is about 32473.6432511044. The cubic root of 1054537506 is about 1017.8583495525.

The spelling of 1054537506 in words is "one billion, fifty-four million, five hundred thirty-seven thousand, five hundred six".