152350907988601 has 45 divisors (see below), whose sum is σ = 179455332677103. Its totient is φ = 129332463266160.

The previous prime is 152350907988599. The next prime is 152350907988611. The reversal of 152350907988601 is 106889709053251.

It is a happy number.

The square root of 152350907988601 is 12343051.

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., 106187851953001 + 46163056035600 = 10304749^2 + 6794340^2 .

It is not a de Polignac number, because 152350907988601 - 2¹ = 152350907988599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152350907988611) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65924234236 + ... + 65924236546.

Almost surely, 2^{152350907988601} is an apocalyptic number.

152350907988601 is the 12343051-st square number.

152350907988601 is the 6171526-th centered octagonal number.

It is an amenable number.

152350907988601 is a deficient number, since it is larger than the sum of its proper divisors (27104424688502).

152350907988601 is an frugal number, since it uses more digits than its factorization.

152350907988601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 64.

The spelling of 152350907988601 in words is "one hundred fifty-two trillion, three hundred fifty billion, nine hundred seven million, nine hundred eighty-eight thousand, six hundred one".