1002564130540 has 144 divisors (see below), whose sum is σ = 2616982331040. Its totient is φ = 320547870720.

The previous prime is 1002564130507. The next prime is 1002564130541. The reversal of 1002564130540 is 450314652001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1002564130541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1539895 + ... + 2091985.

It is an arithmetic number, because the mean of its divisors is an integer number (18173488410).

Almost surely, 2^{1002564130540} is an apocalyptic number.

1002564130540 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 1002564130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308491165520).

1002564130540 is an abundant number, since it is smaller than the sum of its proper divisors (1614418200500).

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

1002564130540 is a wasteful number, since it uses less digits than its factorization.

1002564130540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552240 (or 552231 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 1002564130540 its reverse (450314652001), we get a palindrome (1452878782541).

The spelling of 1002564130540 in words is "one trillion, two billion, five hundred sixty-four million, one hundred thirty thousand, five hundred forty".