2150038622601 has 27 divisors (see below), whose sum is σ = 3299155173223. Its totient is φ = 1348996920000.

The previous prime is 2150038622581. The next prime is 2150038622609. The reversal of 2150038622601 is 1062268300512.

The square root of 2150038622601 is 1466301.

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

2150038622601 is a `hidden beast` number, since 2 + 1 + 50 + 0 + 386 + 226 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1673905502025 + 476133120576 = 1293795^2 + 690024^2 .

It is not a de Polignac number, because 2150038622601 - 2¹¹ = 2150038620553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2150038622609) 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, 74766976 + ... + 74795726.

Almost surely, 2^{2150038622601} is an apocalyptic number.

2150038622601 is the 1466301-st square number.

2150038622601 is the 733151-st centered octagonal number.

It is an amenable number.

2150038622601 is a deficient number, since it is larger than the sum of its proper divisors (1149116550622).

2150038622601 is an frugal number, since it uses more digits than its factorization.

2150038622601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57542 (or 28771 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 2150038622601 by its sum of digits (36), we get a square (77401390413636 = 8797806²).

The spelling of 2150038622601 in words is "two trillion, one hundred fifty billion, thirty-eight million, six hundred twenty-two thousand, six hundred one".