10405250131357 has 2 divisors, whose sum is σ = 10405250131358. Its totient is φ = 10405250131356.

The previous prime is 10405250131291. The next prime is 10405250131369. The reversal of 10405250131357 is 75313105250401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9822670564996 + 582579566361 = 3134114^2 + 763269^2 .

It is a cyclic number.

It is not a de Polignac number, because 10405250131357 - 2³¹ = 10403102647709 is a prime.

It is a super-2 number, since 2×10405250131357² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10405250132357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202625065678 + 5202625065679.

It is an arithmetic number, because the mean of its divisors is an integer number (5202625065679).

Almost surely, 2^{10405250131357} is an apocalyptic number.

It is an amenable number.

10405250131357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405250131357 is an equidigital number, since it uses as much as digits as its factorization.

10405250131357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63000, while the sum is 37.

Adding to 10405250131357 its reverse (75313105250401), we get a palindrome (85718355381758).

The spelling of 10405250131357 in words is "ten trillion, four hundred five billion, two hundred fifty million, one hundred thirty-one thousand, three hundred fifty-seven".