802253410596 has 243 divisors, whose sum is σ = 2291650268817. Its totient is φ = 236461104000.

The previous prime is 802253410583. The next prime is 802253410613. The reversal of 802253410596 is 695014352208.

The square root of 802253410596 is 895686.

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

802253410596 is a `hidden beast` number, since 8 + 0 + 2 + 2 + 53 + 4 + 1 + 0 + 596 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38657064996 + 763596345600 = 196614^2 + 873840^2 .

It is a super-2 number, since 2×802253410596² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2423726151 + ... + 2423726481.

Almost surely, 2^802253410596 is an apocalyptic number.

802253410596 is the 895686-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802253410596

802253410596 is an abundant number, since it is smaller than the sum of its proper divisors (1489396858221).

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

802253410596 is a wasteful number, since it uses less digits than its factorization.

802253410596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 802253410596 in words is "eight hundred two billion, two hundred fifty-three million, four hundred ten thousand, five hundred ninety-six".