29650758453001 has 27 divisors (see below), whose sum is σ = 35355341565333. Its totient is φ = 24793752473280.

The previous prime is 29650758452957. The next prime is 29650758453013. The reversal of 29650758453001 is 10035485705692.

The square root of 29650758453001 is 5445251.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12670787756025 + 16979970696976 = 3559605^2 + 4120676^2 .

It is not a de Polignac number, because 29650758453001 - 2⁹ = 29650758452489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29650758453301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1562777551 + ... + 1562796523.

It is a 1-persistent number, because it is pandigital, but 2⋅29650758453001 = 59301516906002 is not.

Almost surely, 2^{29650758453001} is an apocalyptic number.

29650758453001 is the 5445251-st square number.

29650758453001 is the 2722626-th centered octagonal number.

It is an amenable number.

29650758453001 is a deficient number, since it is larger than the sum of its proper divisors (5704583112332).

29650758453001 is an frugal number, since it uses more digits than its factorization.

29650758453001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38042 (or 19021 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 55.

The spelling of 29650758453001 in words is "twenty-nine trillion, six hundred fifty billion, seven hundred fifty-eight million, four hundred fifty-three thousand, one".