5151134091321 has 45 divisors (see below), whose sum is σ = 7726123443423. Its totient is φ = 3420212992560.

The previous prime is 5151134091307. The next prime is 5151134091349. The reversal of 5151134091321 is 1231904311515.

The square root of 5151134091321 is 2269611.

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

5151134091321 is a `hidden beast` number, since 5 + 1 + 5 + 113 + 409 + 132 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24441882921 + 5126692208400 = 156339^2 + 2264220^2 .

It is not a de Polignac number, because 5151134091321 - 2²⁵ = 5151100536889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5151134091361) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8599555780 + ... + 8599556378.

Almost surely, 2^{5151134091321} is an apocalyptic number.

5151134091321 is the 2269611-st square number.

5151134091321 is the 1134806-th centered octagonal number.

It is an amenable number.

5151134091321 is a deficient number, since it is larger than the sum of its proper divisors (2574989352102).

5151134091321 is an frugal number, since it uses more digits than its factorization.

5151134091321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

Multiplying 5151134091321 by its sum of digits (36), we get a square (185440827287556 = 13617666²).

The spelling of 5151134091321 in words is "five trillion, one hundred fifty-one billion, one hundred thirty-four million, ninety-one thousand, three hundred twenty-one".