95290133481 has 81 divisors (see below), whose sum is σ = 148335272631. Its totient is φ = 61209721008.

The previous prime is 95290133479. The next prime is 95290133527. The reversal of 95290133481 is 18433109259.

It is a happy number.

The square root of 95290133481 is 308691.

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

95290133481 is a `hidden beast` number, since 9 + 5 + 290 + 13 + 348 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85266920025 + 10023213456 = 292005^2 + 100116^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 95290133481 - 2¹ = 95290133479 is a prime.

It is a super-2 number, since 2×95290133481² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (95290133441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 925146876 + ... + 925146978.

Almost surely, 2^95290133481 is an apocalyptic number.

95290133481 is the 308691-st square number.

95290133481 is the 154346-th centered octagonal number.

It is an amenable number.

95290133481 is a deficient number, since it is larger than the sum of its proper divisors (53045139150).

95290133481 is an frugal number, since it uses more digits than its factorization.

95290133481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 95290133481 in words is "ninety-five billion, two hundred ninety million, one hundred thirty-three thousand, four hundred eighty-one".