2506527429 has 24 divisors (see below), whose sum is σ = 3890805408. Its totient is φ = 1431148320.

The previous prime is 2506527427. The next prime is 2506527473. The reversal of 2506527429 is 9247256052.

It is not a de Polignac number, because 2506527429 - 2¹ = 2506527427 is a prime.

It is a super-4 number, since 4×2506527429⁴ (a number of 39 digits) contains 4444 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506527427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196834 + ... + 209180.

It is an arithmetic number, because the mean of its divisors is an integer number (162116892).

Almost surely, 2^2506527429 is an apocalyptic number.

It is an amenable number.

2506527429 is a deficient number, since it is larger than the sum of its proper divisors (1384277979).

2506527429 is a wasteful number, since it uses less digits than its factorization.

2506527429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13745 (or 13738 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 2506527429 is about 50065.2317382033. The cubic root of 2506527429 is about 1358.3889929677.

It can be divided in two parts, 2506 and 527429, that added together give a triangular number (529935 = T₁₀₂₉).

The spelling of 2506527429 in words is "two billion, five hundred six million, five hundred twenty-seven thousand, four hundred twenty-nine".