1252611864 has 160 divisors (see below), whose sum is σ = 4028428800. Its totient is φ = 356218560.

The previous prime is 1252611853. The next prime is 1252611889. The reversal of 1252611864 is 4681162521.

It is a happy number.

1252611864 is a `hidden beast` number, since 12 + 526 + 118 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1228747 + ... + 1229765.

It is an arithmetic number, because the mean of its divisors is an integer number (25177680).

Almost surely, 2^1252611864 is an apocalyptic number.

1252611864 is a gapful number since it is divisible by the number (14) 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 1252611864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014214400).

1252611864 is an abundant number, since it is smaller than the sum of its proper divisors (2775816936).

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

1252611864 is a wasteful number, since it uses less digits than its factorization.

1252611864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1302 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1252611864 is about 35392.2571193192. The cubic root of 1252611864 is about 1077.9671017757.

The spelling of 1252611864 in words is "one billion, two hundred fifty-two million, six hundred eleven thousand, eight hundred sixty-four".