87526315802500 has 45 divisors (see below), whose sum is σ = 191403570338211. Its totient is φ = 35010339210000.

The previous prime is 87526315802483. The next prime is 87526315802503. The reversal of 87526315802500 is 520851362578.

The square root of 87526315802500 is 9355550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 6862063158916 + 80664252643584 = 2619554^2 + 8981328^2 .

It is a super-2 number, since 2×87526315802500² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87526315802503) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 467683945 + ... + 467871055.

Almost surely, 2^{87526315802500} is an apocalyptic number.

87526315802500 is the 9355550-th square number.

It is an amenable number.

87526315802500 is an abundant number, since it is smaller than the sum of its proper divisors (103877254535711).

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

87526315802500 is an frugal number, since it uses more digits than its factorization.

87526315802500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374246 (or 187118 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 52.

The spelling of 87526315802500 in words is "eighty-seven trillion, five hundred twenty-six billion, three hundred fifteen million, eight hundred two thousand, five hundred".