1002481537600 has 63 divisors (see below), whose sum is σ = 2466829684441. Its totient is φ = 400976595200.

The previous prime is 1002481537583. The next prime is 1002481537613. The reversal of 1002481537600 is 67351842001.

The square root of 1002481537600 is 1001240.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 360893353536 + 641588184064 = 600744^2 + 800992^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002481537600.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40037085 + ... + 40062115.

Almost surely, 2^{1002481537600} is an apocalyptic number.

1002481537600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002481537600 is the 1001240-th square number.

It is an amenable number.

1002481537600 is an abundant number, since it is smaller than the sum of its proper divisors (1464348146841).

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

1002481537600 is an frugal number, since it uses more digits than its factorization.

1002481537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50084 (or 25038 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

It can be divided in two parts, 1002481 and 537600, that added together give a square (1540081 = 1241²).

The spelling of 1002481537600 in words is "one trillion, two billion, four hundred eighty-one million, five hundred thirty-seven thousand, six hundred".