34125542361 has 27 divisors (see below), whose sum is σ = 49761952149. Its totient is φ = 22535704152.

The previous prime is 34125542329. The next prime is 34125542371. The reversal of 34125542361 is 16324552143.

The square root of 34125542361 is 184731.

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

34125542361 is a `hidden beast` number, since 3 + 4 + 1 + 255 + 42 + 361 = 666.

It is not a de Polignac number, because 34125542361 - 2⁵ = 34125542329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34125542371) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77032606 + ... + 77033048.

Almost surely, 2^34125542361 is an apocalyptic number.

34125542361 is the 184731-st square number.

34125542361 is the 92366-th centered octagonal number.

It is an amenable number.

34125542361 is a deficient number, since it is larger than the sum of its proper divisors (15636409788).

34125542361 is an frugal number, since it uses more digits than its factorization.

34125542361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 585 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Multiplying 34125542361 by its sum of digits (36), we get a square (1228519524996 = 1108386²).

The spelling of 34125542361 in words is "thirty-four billion, one hundred twenty-five million, five hundred forty-two thousand, three hundred sixty-one".