52013136 has 80 divisors (see below), whose sum is σ = 154386944. Its totient is φ = 14781312.

The previous prime is 52013131. The next prime is 52013141. The reversal of 52013136 is 63131025.

52013136 = T₁₃₃ + T₁₃₄ + ... + T₆₇₉.

It is an interprime number because it is at equal distance from previous prime (52013131) and next prime (52013141).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52013131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94815 + ... + 95361.

Almost surely, 2^52013136 is an apocalyptic number.

52013136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52013136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77193472).

52013136 is an abundant number, since it is smaller than the sum of its proper divisors (102373808).

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

52013136 is a wasteful number, since it uses less digits than its factorization.

52013136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 52013136 is about 7212.0133111358. The cubic root of 52013136 is about 373.2825426936.

The spelling of 52013136 in words is "fifty-two million, thirteen thousand, one hundred thirty-six".