1312654032 has 160 divisors (see below), whose sum is σ = 3965996160. Its totient is φ = 415134720.

The previous prime is 1312654019. The next prime is 1312654033. The reversal of 1312654032 is 2304562131.

1312654032 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 654 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1312653987 and 1312654005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312654033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654343 + ... + 656345.

It is an arithmetic number, because the mean of its divisors is an integer number (24787476).

Almost surely, 2^1312654032 is an apocalyptic number.

1312654032 is a gapful number since it is divisible by the number (12) 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 1312654032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982998080).

1312654032 is an abundant number, since it is smaller than the sum of its proper divisors (2653342128).

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

1312654032 is a wasteful number, since it uses less digits than its factorization.

1312654032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1312654032 is about 36230.5676466710. The cubic root of 1312654032 is about 1094.9226141596.

The spelling of 1312654032 in words is "one billion, three hundred twelve million, six hundred fifty-four thousand, thirty-two".