527628826725 has 192 divisors, whose sum is σ = 1174039523328. Its totient is φ = 201927168000.

The previous prime is 527628826709. The next prime is 527628826741.

527628826725 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (527628826709) and next prime (527628826741).

It is not a de Polignac number, because 527628826725 - 2⁴ = 527628826709 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32499360 + ... + 32515590.

It is an arithmetic number, because the mean of its divisors is an integer number (6114789184).

Almost surely, 2^527628826725 is an apocalyptic number.

527628826725 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

527628826725 is an abundant number, since it is smaller than the sum of its proper divisors (646410696603).

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

527628826725 is a wasteful number, since it uses less digits than its factorization.

527628826725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16708 (or 16703 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The spelling of 527628826725 in words is "five hundred twenty-seven billion, six hundred twenty-eight million, eight hundred twenty-six thousand, seven hundred twenty-five".