87314204006825 has 24 divisors (see below), whose sum is σ = 112055658168600. Its totient is φ = 67411016207360.

The previous prime is 87314204006773. The next prime is 87314204006831. The reversal of 87314204006825 is 52860040241378.

It can be written as a sum of positive squares in 12 ways, for example, as 59595126764944 + 27719077241881 = 7719788^2 + 5264891^2 .

It is not a de Polignac number, because 87314204006825 - 2²⁶ = 87314136897961 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26740502 + ... + 29827551.

It is an arithmetic number, because the mean of its divisors is an integer number (4668985757025).

Almost surely, 2^{87314204006825} is an apocalyptic number.

It is an amenable number.

87314204006825 is a deficient number, since it is larger than the sum of its proper divisors (24741454161775).

87314204006825 is a wasteful number, since it uses less digits than its factorization.

87314204006825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56570221 (or 56570216 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 87314204006825 in words is "eighty-seven trillion, three hundred fourteen billion, two hundred four million, six thousand, eight hundred twenty-five".