2563381 has 2 divisors, whose sum is σ = 2563382. Its totient is φ = 2563380.

The previous prime is 2563369. The next prime is 2563387. The reversal of 2563381 is 1833652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1418481 + 1144900 = 1191^2 + 1070^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2563381 is a prime.

It is a super-2 number, since 2×2563381² = 13141844302322, which contains 22 as substring.

It is a Chen prime.

2563381 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2563387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1281690 + 1281691.

It is an arithmetic number, because the mean of its divisors is an integer number (1281691).

2^2563381 is an apocalyptic number.

It is an amenable number.

2563381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2563381 is an equidigital number, since it uses as much as digits as its factorization.

2563381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4320, while the sum is 28.

The square root of 2563381 is about 1601.0562138788. The cubic root of 2563381 is about 136.8582724566.

It can be divided in two parts, 2563 and 381, that multiplied together give a triangular number (976503 = T₁₃₉₇).

The spelling of 2563381 in words is "two million, five hundred sixty-three thousand, three hundred eighty-one".