1013537408 has 64 divisors (see below), whose sum is σ = 2207173920. Its totient is φ = 460753920.

The previous prime is 1013537381. The next prime is 1013537417. The reversal of 1013537408 is 8047353101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106943 + ... + 116033.

Almost surely, 2^1013537408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013537408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103586960).

1013537408 is an abundant number, since it is smaller than the sum of its proper divisors (1193636512).

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

1013537408 is an equidigital number, since it uses as much as digits as its factorization.

1013537408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9185 (or 9173 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1013537408 is about 31836.1022739908. The cubic root of 1013537408 is about 1004.4922587264.

The spelling of 1013537408 in words is "one billion, thirteen million, five hundred thirty-seven thousand, four hundred eight".