400610761253 has 2 divisors, whose sum is σ = 400610761254. Its totient is φ = 400610761252.

The previous prime is 400610761247. The next prime is 400610761259. The reversal of 400610761253 is 352167016004.

It is a balanced prime because it is at equal distance from previous prime (400610761247) and next prime (400610761259).

It can be written as a sum of positive squares in only one way, i.e., 319290543364 + 81320217889 = 565058^2 + 285167^2 .

It is a cyclic number.

It is not a de Polignac number, because 400610761253 - 2¹⁴ = 400610744869 is a prime.

It is a super-2 number, since 2×400610761253² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400610761259) 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 as a sum of consecutive naturals, namely, 200305380626 + 200305380627.

It is an arithmetic number, because the mean of its divisors is an integer number (200305380627).

Almost surely, 2^400610761253 is an apocalyptic number.

It is an amenable number.

400610761253 is a deficient number, since it is larger than the sum of its proper divisors (1).

400610761253 is an equidigital number, since it uses as much as digits as its factorization.

400610761253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

Adding to 400610761253 its reverse (352167016004), we get a palindrome (752777777257).

The spelling of 400610761253 in words is "four hundred billion, six hundred ten million, seven hundred sixty-one thousand, two hundred fifty-three".