1513494972 has 144 divisors (see below), whose sum is σ = 4438167552. Its totient is φ = 429795840.

The previous prime is 1513494947. The next prime is 1513495019. The reversal of 1513494972 is 2794943151.

1513494972 is a `hidden beast` number, since 1 + 513 + 49 + 4 + 97 + 2 = 666.

Its product of digits (272160) is a multiple of the sum of its prime factors (1008).

It is a congruent number.

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, 2578063 + ... + 2578649.

It is an arithmetic number, because the mean of its divisors is an integer number (30820608).

Almost surely, 2^1513494972 is an apocalyptic number.

1513494972 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 1513494972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219083776).

1513494972 is an abundant number, since it is smaller than the sum of its proper divisors (2924672580).

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

1513494972 is a wasteful number, since it uses less digits than its factorization.

1513494972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1003 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1513494972 is about 38903.6627067427. The cubic root of 1513494972 is about 1148.1368626462.

The spelling of 1513494972 in words is "one billion, five hundred thirteen million, four hundred ninety-four thousand, nine hundred seventy-two".