526413628900 has 36 divisors (see below), whose sum is σ = 1181707842420. Its totient is φ = 203304572800.

The previous prime is 526413628891. The next prime is 526413628901. The reversal of 526413628900 is 9826314625.

It can be written as a sum of positive squares in 6 ways, for example, as 95489652196 + 430923976704 = 309014^2 + 656448^2 .

It is a super-2 number, since 2×526413628900² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (526413628901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90758071 + ... + 90763870.

It is an arithmetic number, because the mean of its divisors is an integer number (32825217845).

Almost surely, 2^526413628900 is an apocalyptic number.

526413628900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

526413628900 is an abundant number, since it is smaller than the sum of its proper divisors (655294213520).

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

526413628900 is a wasteful number, since it uses less digits than its factorization.

526413628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181521984 (or 181521977 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

It can be divided in two parts, 52641 and 3628900, that added together give a triangular number (3681541 = T₂₇₁₃).

The spelling of 526413628900 in words is "five hundred twenty-six billion, four hundred thirteen million, six hundred twenty-eight thousand, nine hundred".