253356516 has 144 divisors (see below), whose sum is σ = 759542784. Its totient is φ = 69709248.

The previous prime is 253356503. The next prime is 253356529. The reversal of 253356516 is 615653352.

253356516 is a `hidden beast` number, since 253 + 356 + 51 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (253356503) and next prime (253356529).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115995 + ... + 1116221.

Almost surely, 2^253356516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253356516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379771392).

253356516 is an abundant number, since it is smaller than the sum of its proper divisors (506186268).

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

253356516 is a wasteful number, since it uses less digits than its factorization.

253356516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 385 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 253356516 is about 15917.1767597146. The cubic root of 253356516 is about 632.7672976473.

It can be divided in two parts, 2533 and 56516, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 253356516 in words is "two hundred fifty-three million, three hundred fifty-six thousand, five hundred sixteen".