51950924874601 has 27 divisors (see below), whose sum is σ = 53201497262277. Its totient is φ = 50729515409760.

The previous prime is 51950924874539. The next prime is 51950924874637. The reversal of 51950924874601 is 10647842905915.

The square root of 51950924874601 is 7207699.

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

It can be written as a sum of positive squares in 4 ways, for example, as 794442429225 + 51156482445376 = 891315^2 + 7152376^2 .

It is not a de Polignac number, because 51950924874601 - 2¹⁵ = 51950924841833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51950924874601.

It is not an unprimeable number, because it can be changed into a prime (51950924872601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76062847206 + ... + 76062847888.

Almost surely, 2^{51950924874601} is an apocalyptic number.

51950924874601 is the 7207699-th square number.

51950924874601 is the 3603850-th centered octagonal number.

It is an amenable number.

51950924874601 is a deficient number, since it is larger than the sum of its proper divisors (1250572387676).

51950924874601 is an frugal number, since it uses more digits than its factorization.

51950924874601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 51950924874601 in words is "fifty-one trillion, nine hundred fifty billion, nine hundred twenty-four million, eight hundred seventy-four thousand, six hundred one".