151164662401 has 9 divisors (see below), whose sum is σ = 151867353603. Its totient is φ = 150465213000.

The previous prime is 151164662387. The next prime is 151164662447. The reversal of 151164662401 is 104266461151.

The square root of 151164662401 is 388799.

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., 51144274801 + 100020387600 = 226151^2 + 316260^2 .

It is not a de Polignac number, because 151164662401 - 2⁷ = 151164662273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151164662471) 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, 97587775 + ... + 97589323.

Almost surely, 2^151164662401 is an apocalyptic number.

151164662401 is the 388799-th square number.

151164662401 is the 194400-th centered octagonal number.

It is an amenable number.

151164662401 is a deficient number, since it is larger than the sum of its proper divisors (702691202).

151164662401 is an frugal number, since it uses more digits than its factorization.

151164662401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 151164662401 in words is "one hundred fifty-one billion, one hundred sixty-four million, six hundred sixty-two thousand, four hundred one".