61858251 has 48 divisors (see below), whose sum is σ = 112379904. Its totient is φ = 31914432.

The previous prime is 61858241. The next prime is 61858259. The reversal of 61858251 is 15285816.

It is not a de Polignac number, because 61858251 - 2⁶ = 61858187 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61858259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37690 + ... + 39296.

It is an arithmetic number, because the mean of its divisors is an integer number (2341248).

Almost surely, 2^61858251 is an apocalyptic number.

61858251 is a deficient number, since it is larger than the sum of its proper divisors (50521653).

61858251 is a wasteful number, since it uses less digits than its factorization.

61858251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1677 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 61858251 is about 7865.0016528924. The cubic root of 61858251 is about 395.4873032930.

The spelling of 61858251 in words is "sixty-one million, eight hundred fifty-eight thousand, two hundred fifty-one".