251231545253201 has 8 divisors (see below), whose sum is σ = 259980165642600. Its totient is φ = 242488622440960.

The previous prime is 251231545253123. The next prime is 251231545253203. The reversal of 251231545253201 is 102352545132152.

It can be written as a sum of positive squares in 4 ways, for example, as 52962588451600 + 198268956801601 = 7277540^2 + 14080801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-251231545253201 is a prime.

It is a super-2 number, since 2×251231545253201² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251231545253203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1424304566 + ... + 1424480943.

It is an arithmetic number, because the mean of its divisors is an integer number (32497520705325).

Almost surely, 2^{251231545253201} is an apocalyptic number.

It is an amenable number.

251231545253201 is a deficient number, since it is larger than the sum of its proper divisors (8748620389399).

251231545253201 is a wasteful number, since it uses less digits than its factorization.

251231545253201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848788579.

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 251231545253201 in words is "two hundred fifty-one trillion, two hundred thirty-one billion, five hundred forty-five million, two hundred fifty-three thousand, two hundred one".