10037724401 has 2 divisors, whose sum is σ = 10037724402. Its totient is φ = 10037724400.

The previous prime is 10037724373. The next prime is 10037724407. The reversal of 10037724401 is 10442773001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8614624225 + 1423100176 = 92815^2 + 37724^2 .

It is an emirp because it is prime and its reverse (10442773001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10037724401 - 2⁶ = 10037724337 is a prime.

It is a super-2 number, since 2×10037724401² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10037724407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5018862200 + 5018862201.

It is an arithmetic number, because the mean of its divisors is an integer number (5018862201).

Almost surely, 2^10037724401 is an apocalyptic number.

It is an amenable number.

10037724401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10037724401 is an equidigital number, since it uses as much as digits as its factorization.

10037724401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4704, while the sum is 29.

The spelling of 10037724401 in words is "ten billion, thirty-seven million, seven hundred twenty-four thousand, four hundred one".