1007335402921 has 27 divisors (see below), whose sum is σ = 1064955472399. Its totient is φ = 952787431232.

The previous prime is 1007335402903. The next prime is 1007335402937. The reversal of 1007335402921 is 1292045337001.

The square root of 1007335402921 is 1003661.

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

It can be written as a sum of positive squares in 13 ways, for example, as 532697079321 + 474638323600 = 729861^2 + 688940^2 .

It is not a de Polignac number, because 1007335402921 - 2⁷ = 1007335402793 is a prime.

It is a super-2 number, since 2×1007335402921² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007335402961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1542626631 + ... + 1542627283.

Almost surely, 2^{1007335402921} is an apocalyptic number.

1007335402921 is the 1003661-st square number.

1007335402921 is the 501831-st centered octagonal number.

It is an amenable number.

1007335402921 is a deficient number, since it is larger than the sum of its proper divisors (57620069478).

1007335402921 is an frugal number, since it uses more digits than its factorization.

1007335402921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 1007335402921 in words is "one trillion, seven billion, three hundred thirty-five million, four hundred two thousand, nine hundred twenty-one".