249699090601 has 9 divisors (see below), whose sum is σ = 258621320503. Its totient is φ = 241074785560.

The previous prime is 249699090593. The next prime is 249699090611. The reversal of 249699090601 is 106090996942.

The square root of 249699090601 is 499699.

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

It can be written as a sum of positive squares in only one way, i.e., 130936146201 + 118762944400 = 361851^2 + 344620^2 .

It is not a de Polignac number, because 249699090601 - 2³ = 249699090593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249699090611) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 14482656 + ... + 14499886.

Almost surely, 2^249699090601 is an apocalyptic number.

249699090601 is the 499699-th square number.

249699090601 is the 249850-th centered octagonal number.

It is an amenable number.

249699090601 is a deficient number, since it is larger than the sum of its proper divisors (8922229902).

249699090601 is an frugal number, since it uses more digits than its factorization.

249699090601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34520 (or 17260 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 55.

The spelling of 249699090601 in words is "two hundred forty-nine billion, six hundred ninety-nine million, ninety thousand, six hundred one".