1513406640 has 160 divisors (see below), whose sum is σ = 5052533760. Its totient is φ = 373338112.

The previous prime is 1513406633. The next prime is 1513406651. The reversal of 1513406640 is 466043151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1513406598 and 1513406607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237577 + ... + 243863.

It is an arithmetic number, because the mean of its divisors is an integer number (31578336).

Almost surely, 2^1513406640 is an apocalyptic number.

1513406640 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 1513406640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526266880).

1513406640 is an abundant number, since it is smaller than the sum of its proper divisors (3539127120).

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

1513406640 is a wasteful number, since it uses less digits than its factorization.

1513406640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1513406640 is about 38902.5274243204. The cubic root of 1513406640 is about 1148.1145260015.

Adding to 1513406640 its reverse (466043151), we get a palindrome (1979449791).

The spelling of 1513406640 in words is "one billion, five hundred thirteen million, four hundred six thousand, six hundred forty".