972953000461 has 4 divisors (see below), whose sum is σ = 1047795538972. Its totient is φ = 898110461952.

The previous prime is 972953000431. The next prime is 972953000489. The reversal of 972953000461 is 164000359279.

It is a happy number.

It is the 402690-th star number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 164000359279 = 127157 ⋅1289747.

It can be written as a sum of positive squares in 2 ways, for example, as 619321780900 + 353631219561 = 786970^2 + 594669^2 .

It is a cyclic number.

It is not a de Polignac number, because 972953000461 - 2²³ = 972944611853 is a prime.

It is a super-2 number, since 2×972953000461² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972953000401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37421269236 + ... + 37421269261.

It is an arithmetic number, because the mean of its divisors is an integer number (261948884743).

Almost surely, 2^972953000461 is an apocalyptic number.

It is an amenable number.

972953000461 is a deficient number, since it is larger than the sum of its proper divisors (74842538511).

972953000461 is a wasteful number, since it uses less digits than its factorization.

972953000461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74842538510.

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 972953000461 in words is "nine hundred seventy-two billion, nine hundred fifty-three million, four hundred sixty-one", and thus it is an aban number.