50972588761081 has 9 divisors (see below), whose sum is σ = 55195270581069. Its totient is φ = 47051534720736.

The previous prime is 50972588761033. The next prime is 50972588761177. The reversal of 50972588761081 is 18016788527905.

The square root of 50972588761081 is 7139509.

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 21360489871081 + 29612098890000 = 4621741^2 + 5441700^2 .

It is not a de Polignac number, because 50972588761081 - 2¹³ = 50972588752889 is a prime.

It is a super-2 number, since 2×50972588761081² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 50972588760998 and 50972588761016.

It is not an unprimeable number, because it can be changed into a prime (50972588761481) 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, 92539021 + ... + 93088213.

It is an arithmetic number, because the mean of its divisors is an integer number (6132807842341).

Almost surely, 2^{50972588761081} is an apocalyptic number.

50972588761081 is the 7139509-th square number.

50972588761081 is the 3569755-th centered octagonal number.

It is an amenable number.

50972588761081 is a deficient number, since it is larger than the sum of its proper divisors (4222681819988).

50972588761081 is an frugal number, since it uses more digits than its factorization.

50972588761081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098412 (or 549206 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 67.

The spelling of 50972588761081 in words is "fifty trillion, nine hundred seventy-two billion, five hundred eighty-eight million, seven hundred sixty-one thousand, eighty-one".