1003052961040 has 80 divisors (see below), whose sum is σ = 2517084990000. Its totient is φ = 369532993536.

The previous prime is 1003052961023. The next prime is 1003052961077. The reversal of 1003052961040 is 401692503001.

It can be written as a sum of positive squares in 8 ways, for example, as 113358809344 + 889694151696 = 336688^2 + 943236^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1003052961040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003052960993 and 1003052961011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607065 + ... + 1540984.

It is an arithmetic number, because the mean of its divisors is an integer number (31463562375).

Almost surely, 2^{1003052961040} is an apocalyptic number.

1003052961040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003052961040 is an abundant number, since it is smaller than the sum of its proper divisors (1514032028960).

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

1003052961040 is a wasteful number, since it uses less digits than its factorization.

1003052961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148524 (or 2148518 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 1003052961040 in words is "one trillion, three billion, fifty-two million, nine hundred sixty-one thousand, forty".