252540054 has 48 divisors (see below), whose sum is σ = 590636592. Its totient is φ = 77523264.

The previous prime is 252540047. The next prime is 252540073. The reversal of 252540054 is 450045252.

252540054 is a `hidden beast` number, since 252 + 5 + 400 + 5 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127012 + ... + 128984.

It is an arithmetic number, because the mean of its divisors is an integer number (12304929).

Almost surely, 2^252540054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252540054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295318296).

252540054 is an abundant number, since it is smaller than the sum of its proper divisors (338096538).

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

252540054 is a wasteful number, since it uses less digits than its factorization.

252540054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 252540054 is about 15891.5088647995. The cubic root of 252540054 is about 632.0868514807.

The spelling of 252540054 in words is "two hundred fifty-two million, five hundred forty thousand, fifty-four".