514791954201 has 96 divisors (see below), whose sum is σ = 880547819520. Its totient is φ = 265666262400.

The previous prime is 514791954107. The next prime is 514791954269. The reversal of 514791954201 is 102459197415.

It is not a de Polignac number, because 514791954201 - 2⁷ = 514791954073 is a prime.

It is a super-2 number, since 2×514791954201² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (514791954601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5756691 + ... + 5845431.

It is an arithmetic number, because the mean of its divisors is an integer number (9172373120).

Almost surely, 2^514791954201 is an apocalyptic number.

It is an amenable number.

514791954201 is a deficient number, since it is larger than the sum of its proper divisors (365755865319).

514791954201 is a wasteful number, since it uses less digits than its factorization.

514791954201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88875 (or 88868 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 514791954201 in words is "five hundred fourteen billion, seven hundred ninety-one million, nine hundred fifty-four thousand, two hundred one".