76313510001 has 9 divisors (see below), whose sum is σ = 110231822649. Its totient is φ = 50875120836.

The previous prime is 76313509981. The next prime is 76313510011. The reversal of 76313510001 is 10001531367.

The square root of 76313510001 is 276249.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 76313510001 - 2⁵ = 76313509969 is a prime.

It is a super-3 number, since 3×76313510001³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (76313510011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 782706 + ... + 874788.

Almost surely, 2^76313510001 is an apocalyptic number.

76313510001 is the 276249-th square number.

76313510001 is the 138125-th centered octagonal number.

It is an amenable number.

76313510001 is a deficient number, since it is larger than the sum of its proper divisors (33918312648).

76313510001 is an frugal number, since it uses more digits than its factorization.

76313510001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184172 (or 92086 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 76313510001 in words is "seventy-six billion, three hundred thirteen million, five hundred ten thousand, one".