61257952 has 24 divisors (see below), whose sum is σ = 137830896. Its totient is φ = 26253312.

The previous prime is 61257949. The next prime is 61257961. The reversal of 61257952 is 25975216.

61257952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136513 + ... + 136960.

It is an arithmetic number, because the mean of its divisors is an integer number (5742954).

Almost surely, 2^61257952 is an apocalyptic number.

It is an amenable number.

61257952 is an abundant number, since it is smaller than the sum of its proper divisors (76572944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61257952 is a wasteful number, since it uses less digits than its factorization.

61257952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273490 (or 273482 counting only the distinct ones).

The product of its digits is 37800, while the sum is 37.

The square root of 61257952 is about 7826.7459394055. The cubic root of 61257952 is about 394.2038163183.

It can be divided in two parts, 612 and 57952, that added together give a square (58564 = 242²).

The spelling of 61257952 in words is "sixty-one million, two hundred fifty-seven thousand, nine hundred fifty-two".