505100061001 has 2 divisors, whose sum is σ = 505100061002. Its totient is φ = 505100061000.

The previous prime is 505100060779. The next prime is 505100061017. The reversal of 505100061001 is 100160001505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 442225000000 + 62875061001 = 665000^2 + 250749^2 .

It is a cyclic number.

It is not a de Polignac number, because 505100061001 - 2¹⁵ = 505100028233 is a prime.

It is a super-2 number, since 2×505100061001² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 505100061001.

It is not a weakly prime, because it can be changed into another prime (505100361001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252550030500 + 252550030501.

It is an arithmetic number, because the mean of its divisors is an integer number (252550030501).

Almost surely, 2^505100061001 is an apocalyptic number.

It is an amenable number.

505100061001 is a deficient number, since it is larger than the sum of its proper divisors (1).

505100061001 is an equidigital number, since it uses as much as digits as its factorization.

505100061001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 505100061001 its reverse (100160001505), we get a palindrome (605260062506).

The spelling of 505100061001 in words is "five hundred five billion, one hundred million, sixty-one thousand, one".