10378226521 has 32 divisors (see below), whose sum is σ = 12056790816. Its totient is φ = 8847360000.

The previous prime is 10378226489. The next prime is 10378226539. The reversal of 10378226521 is 12562287301.

10378226521 = 72035² + 72036².

It can be written as a sum of positive squares in 16 ways, for example, as 6170888025 + 4207338496 = 78555^2 + 64864^2 .

It is a 7-Lehmer number, since φ(10378226521) divides (10378226521-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 10378226521 - 2⁵ = 10378226489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10378226581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8640721 + ... + 8641921.

It is an arithmetic number, because the mean of its divisors is an integer number (376774713).

Almost surely, 2^10378226521 is an apocalyptic number.

10378226521 is the 72036-th centered square number.

It is an amenable number.

10378226521 is a deficient number, since it is larger than the sum of its proper divisors (1678564295).

10378226521 is a wasteful number, since it uses less digits than its factorization.

10378226521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 10378226521 in words is "ten billion, three hundred seventy-eight million, two hundred twenty-six thousand, five hundred twenty-one".