725553355527 has 128 divisors (see below), whose sum is σ = 1456460544000. Its totient is φ = 344724387840.

The previous prime is 725553355517. The next prime is 725553355537.

725553355527 is a `hidden beast` number, since 7 + 2 + 5 + 5 + 53 + 35 + 552 + 7 = 666.

725553355527 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (725553355517) and next prime (725553355537).

It is not a de Polignac number, because 725553355527 - 2⁶ = 725553355463 is a prime.

It is a super-2 number, since 2×725553355527² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725553355517) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2822799 + ... + 3069087.

It is an arithmetic number, because the mean of its divisors is an integer number (11378598000).

Almost surely, 2^725553355527 is an apocalyptic number.

725553355527 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

725553355527 is an abundant number, since it is smaller than the sum of its proper divisors (730907188473).

725553355527 is a wasteful number, since it uses less digits than its factorization.

725553355527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246438 (or 246432 counting only the distinct ones).

The product of its digits is 27562500, while the sum is 54.

The spelling of 725553355527 in words is "seven hundred twenty-five billion, five hundred fifty-three million, three hundred fifty-five thousand, five hundred twenty-seven".