7825838400901 has 8 divisors (see below), whose sum is σ = 7829098202520. Its totient is φ = 7822578822912.

The previous prime is 7825838400881. The next prime is 7825838400929. The reversal of 7825838400901 is 1090048385287.

It is a Cunningham number, because it is equal to 2797470²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 7825838400900 = 1^2 + 2797470^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7825838400901 - 2²⁷ = 7825704183173 is a prime.

It is a super-2 number, since 2×7825838400901² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7825838400971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136279071 + ... + 136336483.

It is an arithmetic number, because the mean of its divisors is an integer number (978637275315).

Almost surely, 2^{7825838400901} is an apocalyptic number.

It is an amenable number.

7825838400901 is a deficient number, since it is larger than the sum of its proper divisors (3259801619).

7825838400901 is a wasteful number, since it uses less digits than its factorization.

7825838400901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111815.

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 7825838400901 in words is "seven trillion, eight hundred twenty-five billion, eight hundred thirty-eight million, four hundred thousand, nine hundred one".