35248560516 has 243 divisors, whose sum is σ = 101141712399. Its totient is φ = 10345555584.

The previous prime is 35248560499. The next prime is 35248560541. The reversal of 35248560516 is 61506584253.

The square root of 35248560516 is 187746.

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

35248560516 is a `hidden beast` number, since 3 + 5 + 24 + 8 + 5 + 605 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4519872900 + 30728687616 = 67230^2 + 175296^2 .

It is a super-2 number, since 2×35248560516² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 424681411 + ... + 424681493.

Almost surely, 2^35248560516 is an apocalyptic number.

35248560516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

35248560516 is the 187746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35248560516

35248560516 is an abundant number, since it is smaller than the sum of its proper divisors (65893151883).

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

35248560516 is a wasteful number, since it uses less digits than its factorization.

35248560516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 35248560516 in words is "thirty-five billion, two hundred forty-eight million, five hundred sixty thousand, five hundred sixteen".