35513779401 has 15 divisors (see below), whose sum is σ = 53053981981. Its totient is φ = 23674722228.

The previous prime is 35513779391. The next prime is 35513779423. The reversal of 35513779401 is 10497731553.

The square root of 35513779401 is 188451.

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

35513779401 is a `hidden beast` number, since 3 + 551 + 3 + 7 + 7 + 94 + 0 + 1 = 666.

It is not a de Polignac number, because 35513779401 - 2¹¹ = 35513777353 is a prime.

It is a super-2 number, since 2×35513779401² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35513779481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1685590 + ... + 1706528.

Almost surely, 2^35513779401 is an apocalyptic number.

35513779401 is the 188451-st square number.

35513779401 is the 94226-th centered octagonal number.

It is an amenable number.

35513779401 is a deficient number, since it is larger than the sum of its proper divisors (17540202580).

35513779401 is an frugal number, since it uses more digits than its factorization.

35513779401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41890 (or 20942 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 35513779401 in words is "thirty-five billion, five hundred thirteen million, seven hundred seventy-nine thousand, four hundred one".