2313437958001 has 9 divisors (see below), whose sum is σ = 2319475278603. Its totient is φ = 2307416322960.

The previous prime is 2313437957953. The next prime is 2313437958037. The reversal of 2313437958001 is 1008597343132.

The square root of 2313437958001 is 1520999.

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

It can be written as a sum of positive squares in only one way, i.e., 216270572401 + 2097167385600 = 465049^2 + 1448160^2 .

It is not a de Polignac number, because 2313437958001 - 2³⁹ = 1763682144113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2313437958701) 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, 655548805 + ... + 655552333.

Almost surely, 2^{2313437958001} is an apocalyptic number.

2313437958001 is the 1520999-th square number.

2313437958001 is the 760500-th centered octagonal number.

It is an amenable number.

2313437958001 is a deficient number, since it is larger than the sum of its proper divisors (6037320602).

2313437958001 is an frugal number, since it uses more digits than its factorization.

2313437958001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 2313437958001 in words is "two trillion, three hundred thirteen billion, four hundred thirty-seven million, nine hundred fifty-eight thousand, one".