1513131840 has 672 divisors, whose sum is σ = 6190853760. Its totient is φ = 348364800.

The previous prime is 1513131817. The next prime is 1513131847. The reversal of 1513131840 is 481313151.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1513131847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24805410 + ... + 24805470.

It is an arithmetic number, because the mean of its divisors is an integer number (9212580).

Almost surely, 2^1513131840 is an apocalyptic number.

1513131840 is a gapful number since it is divisible by the number (10) 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 1513131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095426880).

1513131840 is an abundant number, since it is smaller than the sum of its proper divisors (4677721920).

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

1513131840 is a wasteful number, since it uses less digits than its factorization.

1513131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1513131840 is about 38898.9953597776. The cubic root of 1513131840 is about 1148.0450313569.

Adding to 1513131840 its reverse (481313151), we get a palindrome (1994444991).

It can be divided in two parts, 15131 and 31840, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 1513131840 in words is "one billion, five hundred thirteen million, one hundred thirty-one thousand, eight hundred forty".