1525627627506 has 96 divisors (see below), whose sum is σ = 3524682049200. Its totient is φ = 475251007488.

The previous prime is 1525627627501. The next prime is 1525627627507. The reversal of 1525627627506 is 6057267265251.

1525627627506 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 6 + 2 + 7 + 627 + 5 + 0 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 944055140625 + 581572486881 = 971625^2 + 762609^2 .

It is not an unprimeable number, because it can be changed into a prime (1525627627501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241508260 + ... + 241514576.

Almost surely, 2^{1525627627506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1525627627506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762341024600).

1525627627506 is an abundant number, since it is smaller than the sum of its proper divisors (1999054421694).

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

1525627627506 is a wasteful number, since it uses less digits than its factorization.

1525627627506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11788 (or 11785 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 1525627627506 in words is "one trillion, five hundred twenty-five billion, six hundred twenty-seven million, six hundred twenty-seven thousand, five hundred six".