406525371525 has 72 divisors (see below), whose sum is σ = 896162641920. Its totient is φ = 171544763520.

The previous prime is 406525371493. The next prime is 406525371529. The reversal of 406525371525 is 525173525604.

It is a happy number.

406525371525 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 2 + 53 + 71 + 525 = 666.

It is not a de Polignac number, because 406525371525 - 2⁵ = 406525371493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406525371529) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9906885 + ... + 9947834.

It is an arithmetic number, because the mean of its divisors is an integer number (12446703360).

Almost surely, 2^406525371525 is an apocalyptic number.

406525371525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406525371525 is an abundant number, since it is smaller than the sum of its proper divisors (489637270395).

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

406525371525 is a wasteful number, since it uses less digits than its factorization.

406525371525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19854755 (or 19854747 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 406525371525 in words is "four hundred six billion, five hundred twenty-five million, three hundred seventy-one thousand, five hundred twenty-five".