958051397601 has 27 divisors (see below), whose sum is σ = 1388905007763. Its totient is φ = 636377258160.

The previous prime is 958051397591. The next prime is 958051397603. The reversal of 958051397601 is 106793150859.

The square root of 958051397601 is 978801.

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

958051397601 is a `hidden beast` number, since 9 + 58 + 0 + 513 + 9 + 76 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 591876342225 + 366175055376 = 769335^2 + 605124^2 .

It is not a de Polignac number, because 958051397601 - 2³⁷ = 820612444129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (958051397603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1265589315 + ... + 1265590071.

Almost surely, 2^958051397601 is an apocalyptic number.

958051397601 is the 978801-st square number.

958051397601 is the 489401-st centered octagonal number.

It is an amenable number.

958051397601 is a deficient number, since it is larger than the sum of its proper divisors (430853610162).

958051397601 is an frugal number, since it uses more digits than its factorization.

958051397601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 958051397601 in words is "nine hundred fifty-eight billion, fifty-one million, three hundred ninety-seven thousand, six hundred one".