972754156089 has 21 divisors (see below), whose sum is σ = 1458503977503. Its totient is φ = 648485017632.

The previous prime is 972754156061. The next prime is 972754156093. The reversal of 972754156089 is 980651457279.

The square root of 972754156089 is 986283.

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

972754156089 is a `hidden beast` number, since 9 + 7 + 2 + 7 + 5 + 4 + 15 + 608 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 742814725689 + 229939430400 = 861867^2 + 479520^2 .

It is not a de Polignac number, because 972754156089 - 2²³ = 972745767481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972754156009) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 26611377 + ... + 26647905.

Almost surely, 2^972754156089 is an apocalyptic number.

972754156089 is the 986283-rd square number.

972754156089 is the 493142-nd centered octagonal number.

It is an amenable number.

972754156089 is a deficient number, since it is larger than the sum of its proper divisors (485749821414).

972754156089 is an frugal number, since it uses more digits than its factorization.

972754156089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73076 (or 36532 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 972754156089 in words is "nine hundred seventy-two billion, seven hundred fifty-four million, one hundred fifty-six thousand, eighty-nine".