5251022663121 has 27 divisors (see below), whose sum is σ = 7607128751209. Its totient is φ = 3490411223112.

The previous prime is 5251022663113. The next prime is 5251022663149. The reversal of 5251022663121 is 1213662201525.

The square root of 5251022663121 is 2291511.

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

5251022663121 is a `hidden beast` number, since 5 + 2 + 5 + 10 + 2 + 2 + 6 + 631 + 2 + 1 = 666.

It is not a de Polignac number, because 5251022663121 - 2³ = 5251022663113 is a prime.

It is a super-2 number, since 2×5251022663121² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5251022663171) 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, 2880428416 + ... + 2880430238.

Almost surely, 2^{5251022663121} is an apocalyptic number.

5251022663121 is the 2291511-st square number.

5251022663121 is the 1145756-th centered octagonal number.

It is an amenable number.

5251022663121 is a deficient number, since it is larger than the sum of its proper divisors (2356106088088).

5251022663121 is an frugal number, since it uses more digits than its factorization.

5251022663121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 5251022663121 by its sum of digits (36), we get a square (189036815872356 = 13749066²).

Adding to 5251022663121 its reverse (1213662201525), we get a palindrome (6464684864646).

The spelling of 5251022663121 in words is "five trillion, two hundred fifty-one billion, twenty-two million, six hundred sixty-three thousand, one hundred twenty-one".