89525299691961 has 135 divisors (see below), whose sum is σ = 157230943974687. Its totient is φ = 50616743637600.

The previous prime is 89525299691939. The next prime is 89525299691987. The reversal of 89525299691961 is 16919699252598.

The square root of 89525299691961 is 9461781.

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

89525299691961 is a `hidden beast` number, since 8 + 9 + 525 + 29 + 9 + 6 + 9 + 1 + 9 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86014847787561 + 3510451904400 = 9274419^2 + 1873620^2 .

It is not a de Polignac number, because 89525299691961 - 2¹³ = 89525299683769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (89525299691911) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 60205311760 + ... + 60205313246.

Almost surely, 2^{89525299691961} is an apocalyptic number.

89525299691961 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

89525299691961 is the 9461781-st square number.

89525299691961 is the 4730891-st centered octagonal number.

It is an amenable number.

89525299691961 is a deficient number, since it is larger than the sum of its proper divisors (67705644282726).

89525299691961 is an frugal number, since it uses more digits than its factorization.

89525299691961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 1598 counting only the distinct ones).

The product of its digits is 1700611200, while the sum is 81.

89525299691961 divided by its sum of digits (81) gives a square (1105250613481 = 1051309²).

The spelling of 89525299691961 in words is "eighty-nine trillion, five hundred twenty-five billion, two hundred ninety-nine million, six hundred ninety-one thousand, nine hundred sixty-one".